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Finding the Third Proportional to 54,477.56 and 84,703.22

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Solution

The third proportional to 54,477.56 and 84,703.22 is: 131,698.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,477.56 : 84,703.22 = 84,703.22 : x
  2. Step 2: Convert to fraction form
    54,477.56/84,703.22 = 84,703.22/x
  3. Step 3: Cross multiply
    54,477.56x = 84,703.22 × 84,703.22
  4. Step 4: Simplify right side
    54,477.56x = 7,174,635,266.61
  5. Step 5: Solve for x
    x = 7,174,635,266.61/54,477.56
  6. Step 6: Final answer
    x = 131,698.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.